Question

# For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) compute the...

For the accompanying data​ set,

(a) draw a scatter diagram of the​ data,

(b) compute the correlation​ coefficient, and​

Click the icon to view the critical values table.

​(a) Draw a scatter diagram of the data. Choose the correct graph below.

A. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 2); (6, 4); (6, 8); (7, 1); (9, 5).

B. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 8); (6, 2); (6, 6); (7, 9); (9, 5).

C. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 8); (6, 2); (6, 6); (7, 4); (9, 5).

D. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 2); (6, 4); (6, 8); (7, 6); (9, 5).

​(b) Compute the correlation coefficient. The correlation coefficient is r = _______. ​(Round to three decimal places as​ needed.)

​(c) Determine whether there is a linear relation between x and y. Because the correlation coefficient _____ is __________ ▼ (negative, positive) and the absolute value of the correlation​ coefficient, nothing​, is _______▼( greater, not greater) than the critical value for this data​ set, _____ nothing​,_________ ▼ (a positive, a negative, no) linear relation exists between x and y. ​(Round to three decimal places as​ needed.)

 x y 2 4 6 6 7 4 8 12 14 18

Critical Values for Correlation Coefficient

 n n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361

#### Earn Coins

Coins can be redeemed for fabulous gifts.